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Control and relaxation over the circle / / Bruce Hughes, Stratos Prassidis
| Control and relaxation over the circle / / Bruce Hughes, Stratos Prassidis |
| Autore | Hughes Bruce |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2000 |
| Descrizione fisica | 1 online resource (113 p.) |
| Disciplina |
510 s
514/.3 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Infinite-dimensional manifolds
K-theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0282-3 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction and Statement of Results""; ""1.1. Introduction""; ""1.2. Statement of Results""; ""Chapter 2. Moduli Spaces of Manifolds and Maps""; ""2.1. The Simplcial Set of Manifolds""; ""2.2. The Simplcial Set of Manifold Approximate Fibrations""; ""2.3. The Simplcial Set of Manifold Bands""; ""2.4. The Forget Control Map""; ""Chapter 3. Wrapping�up and Unwrapping as Simplcial Maps""; ""3.1. Unwrapping""; ""3.2. Wrapping Up""; ""3.3. Definition of w""; ""3.4. Classifying Space Interpretation""; ""3.5. Independence of Covering Isotopy""
""Chapter 4. Relaxation as a Simplcial Map""""Chapter 5. The Whitehead Spaces""; ""5.1. The Controlled Whitehead Space""; ""5.2. Abelian Monoidâ€?like Structures""; ""5.3. The Various SimpHcial Maps""; ""5.4. The Forget Control Map""; ""5.5. The Unwrapping Map""; ""5.6. The Wrapping Up Map""; ""5.7. Classifying Space Interpretation""; ""5.8. Delooping the Whitehead Space""; ""5.9. The Relaxation Map""; ""5.10. The Boundedness Condition on the Infinite Cyclic Cover""; ""5.11. Bounded Whitehead and Pseudoisotopy Spaces""; ""Chapter 6. Torsion and a Higher Sum Theorem"" ""9.2. Description of Finite Structures on Mapping Tori""""9.3. Definition of an Embedding M â?? T(w)""; ""9.4. Definition of the Relaxation""; ""9.5. Splittings""; ""9.6. Splitting of T"", Second Splitting of T(w)""; ""9.7. Completion of the Proof""; ""Chapter 10. Comparison with the Lower Algebraic Nil Groups""; ""10.1. Preliminaries on the Algebraic Lower Nilâ€?Groups""; ""10.2. The Definition of the Homomorphism between Algebraic and Geometric Nilâ€?groups""; ""10.3. Delooping of Nilâ€?spaces""; ""Appendix A. Controlled Homotopies on Mapping Tori""; ""Bibliography"" |
| Record Nr. | UNINA-9910480869703321 |
Hughes Bruce
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Control and relaxation over the circle / / Bruce Hughes, Stratos Prassidis
| Control and relaxation over the circle / / Bruce Hughes, Stratos Prassidis |
| Autore | Hughes Bruce |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2000 |
| Descrizione fisica | 1 online resource (113 p.) |
| Disciplina |
510 s
514/.3 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Infinite-dimensional manifolds
K-theory |
| ISBN | 1-4704-0282-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction and Statement of Results""; ""1.1. Introduction""; ""1.2. Statement of Results""; ""Chapter 2. Moduli Spaces of Manifolds and Maps""; ""2.1. The Simplcial Set of Manifolds""; ""2.2. The Simplcial Set of Manifold Approximate Fibrations""; ""2.3. The Simplcial Set of Manifold Bands""; ""2.4. The Forget Control Map""; ""Chapter 3. Wrapping�up and Unwrapping as Simplcial Maps""; ""3.1. Unwrapping""; ""3.2. Wrapping Up""; ""3.3. Definition of w""; ""3.4. Classifying Space Interpretation""; ""3.5. Independence of Covering Isotopy""
""Chapter 4. Relaxation as a Simplcial Map""""Chapter 5. The Whitehead Spaces""; ""5.1. The Controlled Whitehead Space""; ""5.2. Abelian Monoidâ€?like Structures""; ""5.3. The Various SimpHcial Maps""; ""5.4. The Forget Control Map""; ""5.5. The Unwrapping Map""; ""5.6. The Wrapping Up Map""; ""5.7. Classifying Space Interpretation""; ""5.8. Delooping the Whitehead Space""; ""5.9. The Relaxation Map""; ""5.10. The Boundedness Condition on the Infinite Cyclic Cover""; ""5.11. Bounded Whitehead and Pseudoisotopy Spaces""; ""Chapter 6. Torsion and a Higher Sum Theorem"" ""9.2. Description of Finite Structures on Mapping Tori""""9.3. Definition of an Embedding M â?? T(w)""; ""9.4. Definition of the Relaxation""; ""9.5. Splittings""; ""9.6. Splitting of T"", Second Splitting of T(w)""; ""9.7. Completion of the Proof""; ""Chapter 10. Comparison with the Lower Algebraic Nil Groups""; ""10.1. Preliminaries on the Algebraic Lower Nilâ€?Groups""; ""10.2. The Definition of the Homomorphism between Algebraic and Geometric Nilâ€?groups""; ""10.3. Delooping of Nilâ€?spaces""; ""Appendix A. Controlled Homotopies on Mapping Tori""; ""Bibliography"" |
| Record Nr. | UNINA-9910788840803321 |
|
Hughes Bruce
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Control and relaxation over the circle / / Bruce Hughes, Stratos Prassidis
| Control and relaxation over the circle / / Bruce Hughes, Stratos Prassidis |
| Autore | Hughes Bruce |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2000 |
| Descrizione fisica | 1 online resource (113 p.) |
| Disciplina |
510 s
514/.3 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Infinite-dimensional manifolds
K-theory |
| ISBN | 1-4704-0282-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction and Statement of Results""; ""1.1. Introduction""; ""1.2. Statement of Results""; ""Chapter 2. Moduli Spaces of Manifolds and Maps""; ""2.1. The Simplcial Set of Manifolds""; ""2.2. The Simplcial Set of Manifold Approximate Fibrations""; ""2.3. The Simplcial Set of Manifold Bands""; ""2.4. The Forget Control Map""; ""Chapter 3. Wrapping�up and Unwrapping as Simplcial Maps""; ""3.1. Unwrapping""; ""3.2. Wrapping Up""; ""3.3. Definition of w""; ""3.4. Classifying Space Interpretation""; ""3.5. Independence of Covering Isotopy""
""Chapter 4. Relaxation as a Simplcial Map""""Chapter 5. The Whitehead Spaces""; ""5.1. The Controlled Whitehead Space""; ""5.2. Abelian Monoidâ€?like Structures""; ""5.3. The Various SimpHcial Maps""; ""5.4. The Forget Control Map""; ""5.5. The Unwrapping Map""; ""5.6. The Wrapping Up Map""; ""5.7. Classifying Space Interpretation""; ""5.8. Delooping the Whitehead Space""; ""5.9. The Relaxation Map""; ""5.10. The Boundedness Condition on the Infinite Cyclic Cover""; ""5.11. Bounded Whitehead and Pseudoisotopy Spaces""; ""Chapter 6. Torsion and a Higher Sum Theorem"" ""9.2. Description of Finite Structures on Mapping Tori""""9.3. Definition of an Embedding M â?? T(w)""; ""9.4. Definition of the Relaxation""; ""9.5. Splittings""; ""9.6. Splitting of T"", Second Splitting of T(w)""; ""9.7. Completion of the Proof""; ""Chapter 10. Comparison with the Lower Algebraic Nil Groups""; ""10.1. Preliminaries on the Algebraic Lower Nilâ€?Groups""; ""10.2. The Definition of the Homomorphism between Algebraic and Geometric Nilâ€?groups""; ""10.3. Delooping of Nilâ€?spaces""; ""Appendix A. Controlled Homotopies on Mapping Tori""; ""Bibliography"" |
| Record Nr. | UNINA-9910808070103321 |
|
Hughes Bruce
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||